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Simplification problems
1. What is the value of tan3A?
Options
A. (3tanA - tan3A)/(1 - 3tan2A)
B. (3tanA + tan3A)/(1 + 3tan2A)
C. (3tanA - tan3A)/(1 + 3tan2A)
D. (3tanA + tan3A)/(1- 3tan2A)
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Correct Answer: (3tanA - tan3A)/(1 - 3tan2A)
2. If cot2A - cos2A = x , then value of x is
Options
A. tan2Asec2A
B. cotAcosA
C. cot2Acos2A
D. tanAsecA
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Correct Answer: cot2Acos2A
3. What are the coordinates of the centroid of a triangle, whose vertices are A(2,5), B(4,4) and C(7,3)?
Options
A. (4,-3)
B. (-1,0)
C. (-3,-3)
D. (3,-2)
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Correct Answer: (3,-2)
4. If 2x + 5 > 2 + 3x and 2x - 3 ? 4x - 5, then x can take which of the following values?
Options
A. -2
B. 2
C. -4
D. 4
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Correct Answer: 2
5. What is the value of tan150°?
Options
A. -?3
B. 1/?3
C. ?3
D. -1/?3
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Correct Answer: -1/?3
6. If (8x - 4) = (3x + 6), then the numerical value of (x + 1)3 is
Options
A. 3
B. 9
C. 27
D. 81
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Correct Answer: 27
7. If x = at2 and y = 2at then
Options
A. x2 = 4ay
B. y2 = 4ax
C. x2 + y 2 = a2
D. x 2 - y2 = a 2
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Correct Answer: y2 = 4ax
8. If xy+yz+zx = 1, then the value of (1+y2)(x+y)(y+z) ?
Options
A. 2
B. 3
C. 4
D. 1
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Correct Answer: 1
9. The value of tan 315° cot ( -405° ) is equal to
Options
A. -1
B. 1
C. 0
D. 2
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Correct Answer: 1
10. A box weighs 8.5 kg when full of sand and weighs 5.5 kg when it is half filled with sand . Weight of the empty box is
Options
A. 5 kg
B. 6 kg
C. 2.5 kg
D. 4.5 kg
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Correct Answer: 2.5 kg
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